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Simplifying 3v2 + 9v + 18 = 0 Reorder the terms: 18 + 9v + 3v2 = 0 Solving 18 + 9v + 3v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '3'. 3(6 + 3v + v2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + 3v + v2)' equal to zero and attempt to solve: Simplifying 6 + 3v + v2 = 0 Solving 6 + 3v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + 3v + -6 + v2 = 0 + -6 Reorder the terms: 6 + -6 + 3v + v2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3v + v2 = 0 + -6 3v + v2 = 0 + -6 Combine like terms: 0 + -6 = -6 3v + v2 = -6 The v term is 3v. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3v + 2.25 + v2 = -6 + 2.25 Reorder the terms: 2.25 + 3v + v2 = -6 + 2.25 Combine like terms: -6 + 2.25 = -3.75 2.25 + 3v + v2 = -3.75 Factor a perfect square on the left side: (v + 1.5)(v + 1.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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